TSTP Solution File: SWV274-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 16:43:50 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   22 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(subsumption_resolution,[],[f90,f7]) ).

fof(f7,axiom,
    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f90,plain,
    ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(superposition,[],[f67,f84]) ).

fof(f84,plain,
    v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f76,f68,f3]) ).

fof(f3,axiom,
    ! [X3,X6,X4,X5] :
      ( ~ c_in(X3,c_insert(X4,X5,X6),X6)
      | c_in(X3,X5,X6)
      | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

fof(f68,plain,
    c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f56,f4]) ).

fof(f4,axiom,
    ! [X6,X7,X5] :
      ( c_lessequals(X5,X7,tc_set(X6))
      | c_in(c_Main_OsubsetI__1(X5,X7,X6),X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f56,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f6,f8,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X2,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
      | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).

fof(f8,axiom,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f6,axiom,
    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f76,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),v_H,tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f67,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f67,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f56,f5]) ).

fof(f5,axiom,
    ! [X6,X7,X5] :
      ( ~ c_in(c_Main_OsubsetI__1(X5,X7,X6),X7,X6)
      | c_lessequals(X5,X7,tc_set(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SWV274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 04:56:36 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (12530)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (12533)WARNING: value z3 for option sas not known
% 0.11/0.34  % (12531)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (12534)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (12533)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (12532)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  % (12535)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34  % (12536)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34  % (12537)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [3]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  % (12537)First to succeed.
% 0.11/0.34  TRYING [4]
% 0.11/0.35  % (12537)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35  % (12537)------------------------------
% 0.11/0.35  % (12537)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35  % (12537)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (12537)Memory used [KB]: 830
% 0.11/0.35  % (12537)Time elapsed: 0.005 s
% 0.11/0.35  % (12537)Instructions burned: 7 (million)
% 0.11/0.35  % (12537)------------------------------
% 0.11/0.35  % (12537)------------------------------
% 0.11/0.35  % (12530)Success in time 0.019 s
%------------------------------------------------------------------------------